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Finding the Fourth Proportional to 37,838.64, 52,214.88 and 21,921.84

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Solution

The fourth proportional to 37,838.64, 52,214.88 and 21,921.84 is: 30,250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838.64 : 52,214.88 = 21,921.84 : x
  2. Step 2: Convert to fraction form
    37,838.64/52,214.88 = 21,921.84/x
  3. Step 3: Cross multiply
    37,838.64x = 52,214.88 × 21,921.84
  4. Step 4: Simplify right side
    37,838.64x = 1,144,646,244.98
  5. Step 5: Solve for x
    x = 1,144,646,244.98/37,838.64
  6. Step 6: Final answer
    x = 30,250.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.